Answer:
Step-by-step explanation:
From figure,
In triangle 
![\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]](https://tex.z-dn.net/?f=%5CRightarrow%20%28a%2Bb%29%5E2%3D%28a-b%29%5E2%2B%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20a%5E2%2Bb%5E2%2B2ab-a%5E2-b%5E2%2B2ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%204ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20O%27D%3D2%5Csqrt%7Bab%7D%20%5C%5C%5CRightarrow%20O%27%20D%3D2%5Csqrt%7Bab%7D%3DAB%20%5Cquad%20%5Cquad%20%5B%5Cbecause%20O%27%20DAB%5C%3B%5C%3B%20%5Ctext%7Bis%20a%20rectangle.%7D%5D)
Hence,
Answer:
option A
A(-2,-3)
Step-by-step explanation:
make y subject of formula
x+2y=-8
2y=-8-x
y=(-8-x)/2
y=-4-x/2
when x=-2
y=-4-(-2)/2
=-4-(-1)
=-4+1
=-3
(-2,-3) is an ordered pair
Answer:
D.(x,y) → (x,-y)
Step-by-step explanation:
If it is reflected across the X-axis, then the X variable will stay the same and the Y variable will change.
I hope this helps!! Good luck!!
(Sorry if I'm wrong! It's kinda awkward because it is placed in the second quadrant instead of the first.)
Answer:
Option 3 is correct that is 
Step-by-step explanation:
We have general formula for sum of cube which is
Here, we have a=s and b=6
on substituting the values in the formula we will get
After simplification we will get
After rearranging the terms we will get
which exactly matches option 3 in the given options.
Therefore, option 3 is correct that is
Answer: it increased by $403. He ended with $6603
Step-by-step explanation: since he started off with $6200, you would move the decimal over two places (.065) and then multiply 6200 and .065 to get $403.
